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Finding the Fourth Proportional to 1,145.63, 1,724.70 and 782.70

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Solution

The fourth proportional to 1,145.63, 1,724.70 and 782.70 is: 1,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.63 : 1,724.70 = 782.70 : x
  2. Step 2: Convert to fraction form
    1,145.63/1,724.70 = 782.70/x
  3. Step 3: Cross multiply
    1,145.63x = 1,724.70 × 782.70
  4. Step 4: Simplify right side
    1,145.63x = 1,349,922.69
  5. Step 5: Solve for x
    x = 1,349,922.69/1,145.63
  6. Step 6: Final answer
    x = 1,178.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.